out of 9/15 and 3/10 and 6/10 which are equivalent? and could toy tell me why, I am having difficulties with this! thanks
9/15 = 3/5 divide top and bottom by 3
3/10 = 3/10 prime number in numerator, no luck
6/10 = 3/5 divide top and bottom by 2
thanks so much that helps a lot!!!!
To determine which fractions are equivalent, you need to compare them by finding a common denominator and then simplifying the fractions. Here's how to do it step by step:
1. Find the common denominator:
- The denominators in this case are 15, 10, and 10.
- The common denominator for 15, 10, and 10 is 30.
2. Convert each fraction to the common denominator:
- For 9/15: Multiply both the numerator and the denominator by 2. (15 * 2 = 30)
So, 9/15 becomes 18/30.
- For 3/10: Multiply both the numerator and the denominator by 3. (10 * 3 = 30)
So, 3/10 becomes 9/30.
- For 6/10: No conversion is needed.
3. Simplify each fraction:
- 18/30 can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator, which is 6. Divide the numerator and the denominator by 6. (18 ÷ 6 = 3, 30 ÷ 6 = 5)
So, 18/30 simplifies to 3/5.
- 9/30 can be simplified by dividing both the numerator and the denominator by their shared factor, which is 3. (9 ÷ 3 = 3, 30 ÷ 3 = 10)
So, 9/30 simplifies to 3/10.
Now we can compare the simplified fractions:
- 3/5 and 3/10 are equivalent since they have the same numerator and denominator after simplification.
Therefore, 9/15 is equivalent to 3/5 and 3/10 is also equivalent to 3/5. The fraction 6/10 is not equivalent to either of them since it simplifies to 3/5.